A recent article of Berndt and Yee found congruences modulo 3^k for certain
ratios of Eisenstein series. For all but one of these, we show there are no
simple congruences a(pn+c) = 0 modulo p when p>= 13 is prime. This follows from
a more general theorem on the non-existence of congruences in
(E_2^r)(E_4^s)(E_6^t) where r is non-negative and r,s,t are integers.